document.write( "Question 383957: A ball tossed into the air follows a parabolic trajectory. Its height after t seconds is given by a polynomial of degree two with leading coefficient -16. Using synthetic substitution, Norman found that the polynomial evaluates to 0 for the values t = 0 and t = 4. What is the polynomial that describes the ball's height as a function of t?\r
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Algebra.Com's Answer #271984 by ankor@dixie-net.com(22740)\"\" \"About 
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A ball tossed into the air follows a parabolic trajectory.
\n" ); document.write( " Its height after t seconds is given by a polynomial of degree two with leading coefficient -16.
\n" ); document.write( " Using synthetic substitution, Norman found that the polynomial evaluates to 0
\n" ); document.write( " for the values t = 0 and t = 4.
\n" ); document.write( " What is the polynomial that describes the ball's height as a function of t?
\n" ); document.write( ":
\n" ); document.write( "The problem describes the trajectory equation: height = f(t)
\n" ); document.write( "h = -16t^2 + vt
\n" ); document.write( "The ball strikes the ground when t = 4, so we have
\n" ); document.write( "-16(4^2) + 4v = 0
\n" ); document.write( "To complete the equation find v
\n" ); document.write( "-16(16) + 4v = 0
\n" ); document.write( "-256 + 4v = 0
\n" ); document.write( "4v = 256
\n" ); document.write( "v = \"256%2F4\"
\n" ); document.write( "v = 64, the upward initial velocity
\n" ); document.write( ":
\n" ); document.write( "f(t) = -16t^2 + 64t, describes the height of the ball in t seconds
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